Showing posts with label quantity. Show all posts
Showing posts with label quantity. Show all posts

Sunday, July 12, 2009

word problem on percentages

Topic:-Percentages

a percentage is a way of expressing a number as a fraction of a number (per cent meaning "per hundred"). It is often denoted using the percent sign, "%". For example, 45% (read as "forty-five percent") is equal to 45 / 100, or 0.45.
Percentages are used to express how large one quantity is, relative to another quantity. The first quantity usually represents a part of, or a change in, the second quantity, which should be greater than zero.
This percentages help  with give you an example as well.

Question:-


How many liters of water must be added to 20 liters of a 24% acid solution to make it 8 % acid.


Answer:-

20 L ,24% acid

needs to be 8% acid

So 24% of 20 is 4.8

Let x be the number of liters of water

(20+x)(8%)=4.8 liters

(20+x)(0.08)=4.8 liters

1.6+0.08x=4.8

0.08x=4.8-1.6

x=40 liters of water is the Answer.



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